# Moment of Inertia of a Cube

This calculation is for the moment of inertia of a cube. For the purposes of this calculation, a cube can have three equal sides or it can have three non-equal sides. The moment of inertia is calculated three different ways, about the center of the I_{height}, I_{width }and about the end I_{length} directions: Z-axis, Y-axis and X-axis, respectively.

\(\large{ I_h = \frac {1}{12} \; m \; \left( l^2 + w^2 \right) }\) \(\large{ I_l = \frac {1}{12} \; m \; \left( h^2 + w^2 \right) }\) \(\large{ I_w = \frac {1}{12} \; m \; \left( l^2 + h^2 \right) }\) Where: \(\large{ I }\) = moment of inertia \(\large{ h }\) = height \(\large{ l }\) = length \(\large{ m }\) = mass \(\large{ w }\) = width |